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Finding the Fourth Proportional to 24,226.92, 36,324.90 and 11,571.48

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Solution

The fourth proportional to 24,226.92, 36,324.90 and 11,571.48 is: 17,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.92 : 36,324.90 = 11,571.48 : x
  2. Step 2: Convert to fraction form
    24,226.92/36,324.90 = 11,571.48/x
  3. Step 3: Cross multiply
    24,226.92x = 36,324.90 × 11,571.48
  4. Step 4: Simplify right side
    24,226.92x = 420,332,853.85
  5. Step 5: Solve for x
    x = 420,332,853.85/24,226.92
  6. Step 6: Final answer
    x = 17,349.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.